Test of molecular dynamics force fields in gramicidin A

The gramicidin channel ion permeation free-energy profile: direct and indirect effects of CHARMM force field improvements

A revised CHARMM force field for tryptophan residues is studied as well as a new grid-based correction algorithm, called CMAP, using molecular dynamics simulations of gramicidin A (1JNO) embedded in a lipid bilayer (DMPC) with 1 mol/kg NaCl or KCl saline solution. The conformational stability of the interfacial side chains is studied, which shows good stability on the 10 ns time scale. The revised force field for the tryptophan side chain produces, in the decomposition, a Na(+) PMF(Trp) profile that is consonant with the prediction from the experimental results, analyzed with rate theory by Durrant et al. (2006), but in stark contrast to the prediction of the original CHARMM force field, version 22. However, the effect is diluted in the PMF profile due to indirect effects mediated by other components of the system (polypeptide, lipid molecules, ions, and water molecules). CMAP corrections to the L-amino acids help reduce the excessive translocation barrier. Decomposition demonstrates that this effect is due to effects on the K(+) PMF(H(2)O) profile rather than on the K(+) PMF(gA) profile. The results have been confirmed to be robust using an alternative umbrella-potential method. Further force field balancing efforts (direct and indirect) are required for future studies to evaluate whether these effects give rise to predictions that are consistent with those observables extracted from real experiments.

Computational studies of gramicidin permeation: an entry way sulfonate enhances cation occupancy at entry sites

The impact on the cation-transport free-energy profile of replacing the C-terminal ethanolamine in the gramicidin A channel with a taurine residue is studied using molecular dynamics simulations of gramicidin A (1JNO) embedded in a lipid bilayer (DMPC) with 1 mol/kg NaCl saline solution. The potential of mean force for ion transport is obtained by umbrella sampling. The presence of a negatively charged sulfonate group at the entrance of the gramicidin channel affects the depth and the location of the binding sites, producing a strong attraction for the cations in the bulk. The potential of mean force by the sulfonate acting directly through electrostatics and van der Waals interactions on the test ion is highly modulated by indirect effects (i.e., sulfonate effects on other components of the system that, in turn, affect the ion free-energy profile in the channel). Because the "entry" sites are located symmetrically at both entry and exit of the channel, the deeper free-energy wells should inhibit exit. Given that the channel has increased conductance experimentally, the simulation results suggest that the channel conductance is normally entry limited.

Comment on "Free energy simulations of single and double ion occupancy in gramicidin A" [J. Chem. Phys. 126, 105103 (2007)]

In a recent article published by Bastug and Kuyucak [J. Chem. Phys.126, 105103 (2007)] investigated the microscopic factors affecting double ion occupancy in the gramicidin channel. The analysis relied largely on the one-dimensional potential of mean force of ions along the axis of the channel (the so-called free energy profile of the ion along the channel axis), as well as on the calculation of the equilibrium association constant of the ions in the channel binding sites. It is the purpose of this communication to clarify this issue.

Molecular dynamics simulations of asymmetric NaCl and KCl solutions separated by phosphatidylcholine bilayers: potential drops and structural changes induced by strong Na+-lipid interactions and finite size effects

Differences of ionic concentrations across lipid bilayers are some of the primary energetic driving forces for cellular electrophysiology. While macroscopic models of asymmetric ionic solutions are well-developed, their connection to ion, water, and lipid interactions at the atomic scale are much more poorly understood. In this study, we used molecular dynamics to examine a system of two chambers of equal ionic strength, but differing amounts of NaCl and KCl, separated by a lipid bilayer. Our expectation was that the net electrostatic potential difference between the two chambers should be small or zero. Contrary to our expectation, a large potential difference (-70 mV) slowly evolved across the two water chambers over the course of our 172-ns simulation. This potential primarily originated from strong Na(+) binding to the carbonyls of the phosphatidylcholine lipids. This ion adsorption also led to significant structural and mechanical changes in the lipid bilayer. We discuss this surprising result in the context of indirect experimental evidence for Na(+) interaction with bilayers as well as potential caveats in current biomembrane simulation methodology, including force-field parameters and finite size effects.

Comparison of protein force fields for molecular dynamics simulations

In the context of molecular dynamics simulations of proteins, the term "force field" refers to the combination of a mathematical formula and associated parameters that are used to describe the energy of the protein as a function of its atomic coordinates. In this review, we describe the functional forms and parameterization protocols of the widely used biomolecular force fields Amber, CHARMM, GROMOS, and OPLS-AA. We also summarize the ability of various readily available noncommercial molecular dynamics packages to perform simulations using these force fields, as well as to use modern methods for the generation of constant-temperature, constant-pressure ensembles and to treat long-range interactions. Finally, we finish with a discussion of the ability of these force fields to support the modeling of proteins in conjunction with nucleic acids, lipids, carbohydrates, and/or small molecules.

Solid-state NMR and MD simulations of the antiviral drug amantadine solubilized in DMPC bilayers

The interactions of (15)N-labeled amantadine, an antiinfluenza A drug, with DMPC bilayers were investigated by solid-state NMR and by a 12.6-ns molecular dynamics (MD) simulation. The drug was found to assume a single preferred orientation and location when incorporated in these bilayers. The experimental and MD computational results demonstrate that the long axis of amantadine is on average parallel to the bilayer normal, and the amine group is oriented toward the headgroups of the lipid bilayers. The localization of amantadine was determined by paramagnetic relaxation and by the MD simulation showing that amantadine is within the interfacial region and that the amine interacts with the lipid headgroup and glycerol backbone, while the hydrocarbon portion of amantadine interacts with the glycerol backbone and much of the fatty acyl chain as it wraps underneath the drug. The lipid headgroup orientation changes on drug binding as characterized by the anisotropy of (31)P chemical shielding and (14)N quadrupolar interactions and by the MD simulation.

Ion permeation through a narrow channel: using gramicidin to ascertain all-atom molecular dynamics potential of mean force methodology and biomolecular force fields

We investigate methods for extracting the potential of mean force (PMF) governing ion permeation from molecular dynamics simulations (MD) using gramicidin A as a prototypical narrow ion channel. It is possible to obtain well-converged meaningful PMFs using all-atom MD, which predict experimental observables within order-of-magnitude agreement with experimental results. This was possible by careful attention to issues of statistical convergence of the PMF, finite size effects, and lipid hydrocarbon chain polarizability. When comparing the modern all-atom force fields of CHARMM27 and AMBER94, we found that a fairly consistent picture emerges, and that both AMBER94 and CHARMM27 predict observables that are in semiquantitative agreement with both the experimental conductance and dissociation coefficient. Even small changes in the force field, however, result in significant changes in permeation energetics. Furthermore, the full two-dimensional free-energy surface describing permeation reveals the location and magnitude of the central barrier and the location of two binding sites for K(+) ion permeation near the channel entrance--i.e., an inner site on-axis and an outer site off-axis. We conclude that the MD-PMF approach is a powerful tool for understanding and predicting the function of narrow ion channels in a manner that is consistent with the atomic and thermally fluctuating nature of proteins.

Molecular dynamics - potential of mean force calculations as a tool for understanding ion permeation and selectivity in narrow channels

Ion channels catalyze the permeation of charged molecules across cell membranes and are essential for many vital physiological functions, including nerve and muscle activity. To understand better the mechanisms underlying ion conduction and valence selectivity of narrow ion channels, we have employed free energy techniques to calculate the potential of mean force (PMF) for ion movement through the prototypical gramicidin A channel. Employing modern all-atom molecular dynamics (MD) force fields with umbrella sampling methods that incorporate one hundred 1-2 ns trajectories, we find that it is possible to achieve semi-quantitative agreement with experimental binding and conductance measurements. We also examine the sensitivity of the MD-PMF results to the choice of MD force field and compare PMFs for potassium, calcium and chloride ions to explore the basis for the valence selectivity of this narrow and uncharged ion channel. A large central barrier is observed for both anions and divalent ions, consistent with lack of experimental conductance. Neither anion or divalent cation is seen to be stabilized inside the channel relative to the bulk electrolyte and each leads to large disruptions to the protein and membrane structure when held deep inside the channel. Weak binding of calcium ions outside the channel corresponds to a free energy well that is too shallow to demonstrate channel blocking. Our findings emphasize the success of the MD-PMF approach and the sensitivity of ion energetics to the choice of biomolecular force field.